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Finding the Fourth Proportional to 565,140.71, 847,391.92 and 185,959.19

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Solution

The fourth proportional to 565,140.71, 847,391.92 and 185,959.19 is: 278,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,140.71 : 847,391.92 = 185,959.19 : x
  2. Step 2: Convert to fraction form
    565,140.71/847,391.92 = 185,959.19/x
  3. Step 3: Cross multiply
    565,140.71x = 847,391.92 × 185,959.19
  4. Step 4: Simplify right side
    565,140.71x = 157,580,310,353.89
  5. Step 5: Solve for x
    x = 157,580,310,353.89/565,140.71
  6. Step 6: Final answer
    x = 278,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.